In this paper a Morse Theory for lightlike geodesics joining a point with a timelike curve is obtained on a stably Causal space-times with boundary. Some applications to the multiple image effect are presented. In particular, we give some conditions on the geometry and the topology of space-time, in order that the number of images in the gravitational lens effect is infinite or odd.

A Morse Theory for light rays on stably causal Lorentzian manifolds

Masiello, A;
1998

Abstract

In this paper a Morse Theory for lightlike geodesics joining a point with a timelike curve is obtained on a stably Causal space-times with boundary. Some applications to the multiple image effect are presented. In particular, we give some conditions on the geometry and the topology of space-time, in order that the number of images in the gravitational lens effect is infinite or odd.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/10167
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